Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Sitting Arrangement. You may use sequential hints.
Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Sitting Arrangement. You may use sequential hints.
Try this beautiful problem from Probability based on divisibility from AMC-10A, 2003. You may use sequential hints to solve the problem.
Try this beautiful problem from Inequation from TOMATO useful for ISI B.Stat Entrance based on condition checking.You may use sequential hints.
Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic True-False Reasoning. You may use sequential hints.
Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Combination of Sequence. You may use sequential hints.
Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Series and Integers. You may use sequential hints.
Try this beautiful problem based on the combinatorics from TOMATO useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem.
Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Integers and remainders. You may use sequential hints to solve the problem.
Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Logic and Group. You may use sequential hints to solve the problem.
This is a work in progress. Please come back soon for more updates. We are adding problems, solutions and discussions on INMO (Indian National Math Olympiad 2021) INMO 2021, Problem 1 Suppose $r \geq 2$ is an integer, and let $m_{1}, n_{1}, m_{2}, n_{2}, \cdots, m_{r}, n_{r}$ be $2 r$ integers such that $$|m_{i} n_{j}-m_{j} […]
Suppose we have a triangle $ABC$. Let us extend the sides $BA$ and $BC$. We will draw the incircle of this triangle. How to draw the incircle? Here is the construction. Draw any two angle bisectors, say of angle $A$ and angle $B$ Mark the intersection point $I$. Drop a perpendicular line from I to […]
In 2021, Cheenta is proud to introduce 5-days-a-week problem solving sessions for Math Olympiad and ISI Entrance.
This post contains problems from Indian National Mathematics Olympiad, INMO 2015. Try them and share your solution in the comments. INMO 2015, Problem 1 Let $A B C$ be a right-angled triangle with $\angle B=90^{\circ} .$ Let $B D$ be the altitude from $B$ on to $A C .$ Let $P, Q$ and $I$ be […]
This post will provide you all the PRMO (Pre-Regional Mathematics Olympiad) 2012 Set A problems and solutions. You may find some solutions with hints too. There are 20 questions in the question paper and question carries 5 marks. Time Duration: 2 hours PRMO 2012 Set A, Problem 1: Rama was asked by her teacher to […]
This post will provide you all the PRMO (Pre-Regional Mathematics Olympiad) 2013 Set A problems and solutions. You may find some solutions with hints too. There are 20 questions in the question paper and question carries 5 marks. Time Duration: 2 hours PRMO 2013 Set A, Problem 1: What is the smallest positive integer $k$ […]
This post will provide you all the PRMO (Pre-Regional Mathematics Olympiad) 2015 Set B problems and solutions. You may find some solutions with hints too. PRMO 2015 Set B, Problem 1: A man walks a certain distance and rides back in $3 \frac{3}{4}$ hours; he could ride both ways in $2 \frac{1}{2}$ hours. How many […]
This post will provide you all the PRMO (Pre-Regional Mathematics Olympiad) 2014 problems and solutions. You may find some solutions with hints too. PRMO 2014, Problem 1: A natural number $k$ is such that $k^{2}<2014<(k+1)^{2}$. What is the largest prime factor of $k ?$ PRMO 2014, Problem 2: The first term of a sequence is […]
IOQM 2021 - Problem 1 Let $ABCD$ be a trapezium in which $AB \parallel CD$ and $AB=3CD$. Let $E$ be the midpoint of the diagonal $BD$. If $[ABCD]= n \times [CDE] $, what is the value of $n$ ? (Here $[\Gamma]$ denotes the area of the geometrical figure $\Gamma$).Answer: 8 Solution: IOQM 2021 - Problem […]
“The Pigeonhole principle” ~ Students who have never heard may think that it is a joke. The pigeonhole principle is one of the simplest but most useful ideas in mathematics. Let’s learn the Pigeonhole Principle with some applications. Pigeonhole Principle Definition: In Discrete Mathematics, the pigeonhole principle states that if we must put $N + […]
Try out the problems from Singapore Math Olympiad 2023 (Senior Years).
Try out the problems from Singapore Math Olympiad 2022 (Senior Years).
Try out the problems from Singapore Math Olympiad 2022 (Junior Years).
78 students qualified in Indian National Math Olympiad, the toughest math contest in India. 7 of them are from Cheenta. Learn from their success story.
What is SMO? The Singapore Mathematical Olympiad (SMO) has been organized by The Singapore Mathematical Society (SMS) annually since the 1950’s. The main purpose of these competitions is to check the problem-solving ability in mathematics of students from junior and senior sections. Who can appear for SMO 2024? Senior Level : The Competition is open […]
Books play a significant role in the preparation for the Singapore Mathematics Olympiad. In Cheenta we recommend a few books based on their age and grades that suit them. Books for Junior SMO Books for Senior SMO
(২১-শে ফেব্রুয়ারীর প্রতি) ‘মাত্রা’ অথবা ডাইমেনশন কাকে বলে? একটু তলিয়ে ভাবতে গেলে কিন্তু সব গোলমাল হয়ে যায়। এই এক টুকরো লেখায়, আমরা ডাইমেনশন নিয়ে একটু ভাবা প্র্যাকটিস করব। একটা বিন্দু-র dimension কি? একটা সরলরেখারই বা dimension কি? একটা কাগজের টুকরোর dimension কি হবে? চট করে ভাবলে মনে হয় যে কিন্তু কেন এরকম মনে হচ্ছে? তুমি […]
In the world of fake olympiads and thousands of contests, it is important to select the right ones and focus on them. Children take hundreds of tests these days under peer pressure. No good comes out this rat race. We urge kids to learn deep mathematical science and prepare for 1 or 2 real contests […]
Research projects for high school and college students in mathematics, physics, computer science, statistics, artificial intelligence, data science and more. Created by experienced research from India and the United States.
Cheenta has been working with thousands of school and college students since 2010. We have deviced a unique method of teaching non-routine mathematics, physics and computer science over the last 14 years. In this article we will discuss the main features of the Cheenta method. Two Pronged Approach A Cheenta program usually consists of two […]